1. Warm Up #3

2. HW Check – Composition of Functions Worksheet

3. Function Operations Practice
G(3)
Given F(x) = -4x and
2(G(3))
G(x) = 2x – 6
F(x) + G(x)
find the following:
G(x) – F(x)
F(x)G(x)
G(F(x))

4. 7.7 - Functions and Inverses

5. Inverses
An INVERSE RELATION “undoes” the relation. The Inverse of f(x) is denoted by f-1(x)

6. Inverse
So if f(x) = x – 5 Then f-1(x) = x + 5

7. Domains and Ranges
The domain of a relation’s inverse is its range, and the range of a relation’s inverse is its domain. f(x): D R f-1(x): D R -1 2 6 7 -1 2 6 7 1 2 4 1 2 4

8. More Inverse
Find the inverse of the following relation: {(2,3), (4,5), (1,3)}

9. You try!
Find the inverse of the following relation: {(3,4), (-4, -6), (-3, 2), (6, -1)}

10. Functionality of Inverses
If a relation is a function, does it’s inverse have to be??

11. How to find the inverse of a function:
Step 1: Switch the x and y
Step 2: Solve for y
Ex: y = 5x - 15

12. Find the inverse:
y = 6 – 2x + 9x

13. Find the inverse:

14. You Try!
Find the Inverse of the following:
y = -5 + x
y = 2x + 10 3.